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Finding the Third Proportional to 5,742,795 and 8,896,534.50

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Solution

The third proportional to 5,742,795 and 8,896,534.50 is: 13,782,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742,795 : 8,896,534.50 = 8,896,534.50 : x
  2. Step 2: Convert to fraction form
    5,742,795/8,896,534.50 = 8,896,534.50/x
  3. Step 3: Cross multiply
    5,742,795x = 8,896,534.50 × 8,896,534.50
  4. Step 4: Simplify right side
    5,742,795x = 79,148,326,109,690.25
  5. Step 5: Solve for x
    x = 79,148,326,109,690.25/5,742,795
  6. Step 6: Final answer
    x = 13,782,195.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.